37114101 has 12 divisors (see below), whose sum is σ = 53752140. Its totient is φ = 24676800.

The previous prime is 37114081. The next prime is 37114109. The reversal of 37114101 is 10141173.

37114101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 20711601 + 16402500 = 4551^2 + 4050^2 .

It is not a de Polignac number, because 37114101 - 2⁵ = 37114069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37114109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1800 + ... + 8801.

It is an arithmetic number, because the mean of its divisors is an integer number (4479345).

Almost surely, 2^37114101 is an apocalyptic number.

It is an amenable number.

37114101 is a deficient number, since it is larger than the sum of its proper divisors (16638039).

37114101 is a wasteful number, since it uses less digits than its factorization.

37114101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10996 (or 10993 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 37114101 is about 6092.1343550516. The cubic root of 37114101 is about 333.5643650583.

Adding to 37114101 its reverse (10141173), we get a palindrome (47255274).

The spelling of 37114101 in words is "thirty-seven million, one hundred fourteen thousand, one hundred one".